WorksheetsWord Problems Point-Slope
Total questions: 6
Worksheet time: 52mins
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet.
What is the average rate of change?
What is a point-slope equation for the climber?
200 ; y - 700 = 200(x - 6)
75 ; y - 6 = 75(x - 700)
300 ; y - 700 = 300(x - 6)
75 ; y - 700 = 75(x - 6)
At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. Write two point-slope form equations for the problem.
y - 0 = 2(x - 10)
y - 5 = 2(x - 20)
y - 0 = 5(x - 10)
y - 5 = 5(x- 20)
y - 10 = 2(x - 0)
y - 20 = 2(x -5)
y - 10 = 6(x - 0)
y - 20 = 6(x - 5)
y + 4 = -5(x - 1)
Find the rate of change.
Then write the point-slope equation.
-2 minutes per gallon
y - 80 = -2 (x - 10)
-20 minutes per gallon
y - 80 = -20 (x - 10)
-2 gallons per minute
y -80 = -2 (x - 10)
-20 gallons per minute
y - 80 = -20 (x - 10)
